180013 has 4 divisors (see below), whose sum is σ = 190620. Its totient is φ = 169408.

The previous prime is 180007. The next prime is 180023. The reversal of 180013 is 310081.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 100489 = 282^2 + 317^2 .

It is a cyclic number.

It is not a de Polignac number, because 180013 - 2⁵ = 179981 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 179975 and 180002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5278 + ... + 5311.

It is an arithmetic number, because the mean of its divisors is an integer number (47655).

2¹⁸⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

180013 is a deficient number, since it is larger than the sum of its proper divisors (10607).

180013 is a wasteful number, since it uses less digits than its factorization.

180013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 180013 is about 424.2793890822. The cubic root of 180013 is about 56.4635209744.

Adding to 180013 its reverse (310081), we get a palindrome (490094).

The spelling of 180013 in words is "one hundred eighty thousand, thirteen".